Answer: y = -5x - 15
Step-by-step explanation:
What we know:
- The line has a slope of -5
- The line passes through (-4,5)
- The formula for slope-intercept form is y=mx+b
How to solve:
By substituting the point and slope we know, we can solve for b (the y-intercept.) This will allow us to write the full equation, as we already know the slope.
Process:
Solving for B
Set up equation y = mx + b
Substitute 5 = -5(-4) + b
Simplify 5 = 20 + b
-20 -20
Solve -15 = b
Writing the Equation
Set up equation y = mx + b
Substitute y = -5x - 15
Solve y = -5x - 15
Answer: y = -5x - 15
Check:
We can check if our equation is right by graphing it. In this graph, you can see it has a slope of -5 and goes through the point (-4,5). Therefore, our answer is correct: